1. What does the 'B' stand for in the acronym BODMAS?
a) Border
b) Base
c) Bracket
d) Brackets
Explanation:
The 'B' in BODMAS stands for Brackets, which are solved first in the order of operations.
2. In the BODMAS rule, what does the 'O' represent?
a) Orders
b) Operations
c) Others
d) Overrule
Explanation:
The 'O' in BODMAS represents Orders, indicating that operations involving powers and roots are solved after Brackets.
3. What is the result of 6 + 3 × 2?
a) 11
b) 12
c) 9
d) 18
Explanation:
Following the BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction) order of operations, multiplication is performed before addition.

Step 1: Perform multiplication
3 × 2 = 6

Step 2: Add the result of multiplication to 6
6 + 6 = 12
4. What should be solved first in the expression: 8 ÷ (4 + 2) × 3?
a) Parentheses
b) Division
c) Multiplication
d) Addition
Explanation:
Parentheses should be solved first, so calculate the value inside the parentheses: 8 ÷ 6 × 3 = 4 × 3 = 12.
5. What is the value of 5 + 3 × (4 ÷ 2)?
a) 9
b) 11
c) 7
d) 14
Explanation:
The value of the expression 5 + 3 × (4 ÷ 2) is 11.

Following the BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction) order of operations:

Step 1: Perform the division within the parentheses
4 ÷ 2 = 2
So the expression becomes:
= 5 + 3 × (2)
= 5 + 3 × 2

Step 2: Perform the multiplication
3 × 2 = 6
So the expression further simplifies to:
= 5 + 6

Step 3: Add the result of addition to 5
5 + 6 = 11

Therefore, the final value of the expression is indeed 11.
6. What is the result of 2 × (3 + 4) ÷ 2?
a) 10
b) 8
c) 7
d) 5
Explanation:
The value of the expression 2 × (3 + 4) ÷ 2 is 7.

Following the BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction) order of operations:

Step 1: Perform the addition within the parentheses
3 + 4 = 7

So the expression becomes:
= 2 × 7 ÷ 2

Step 2: Perform the multiplication
2 × 7 = 14

So the expression further simplifies to:
= 14 ÷ 2

Step 3: Perform the division
14 ÷ 2 = 7

Therefore, the final value of the expression is indeed 7.
7. What is the value of 10 - (2 × 3) + 8 ÷ 2?
a) 7
b) 6
c) 5
d) 8
Explanation:
The value of the expression 10 - (2 × 3) + 8 ÷ 2 is 8.

Following the BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction) order of operations:

Step 1: Perform the multiplication within the parentheses
2 × 3 = 6

So the expression becomes:
= 10 - 6 + 8 ÷ 2

Step 2: Perform the division
8 ÷ 2 = 4

So the expression further simplifies to:
= 10 - 6 + 4

Step 3: Perform the subtraction
10 - 6 = 4

So the expression becomes:
= 4 + 4

Step 4: Perform the addition
4 + 4 = 8
8. What is the result of 5 × 2 - 10 ÷ 2 + 3?
a) 7
b) 5
c) 8
d) 6
Explanation:
The value of the expression 5 × 2 - 10 ÷ 2 + 3 is 8.

Following the BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction) order of operations:

Step 1: Perform the multiplication
5 × 2 = 10

So the expression becomes:
= 10 - 10 ÷ 2 + 3

Step 2: Perform the division
10 ÷ 2 = 5

So the expression further simplifies to:
= 10 - 5 + 3

Step 3: Perform the addition and subtraction in order from left to right
= 5 + 3
= 8

Step 4: Perform the addition
5 + 3 = 8
9. What is the value of (4 + 3) × (2 - 1)?
a) 9
b) 3
c) 2
d) 7
Explanation:
The value of the expression (4 + 3) × (2 - 1) is 7.

Following the BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction) order of operations:

Step 1: Perform the addition within the first set of parentheses
4 + 3 = 7

So the expression becomes:
= 7 × (2 - 1)
= 7 × 1

Step 2: Perform the multiplication
7 × 1 = 7

Therefore, the final value of the expression is indeed 7.
10. What is the result of 12 ÷ (3 - 1) × 2?
a) 3
b) 8
c) 6
d) 12
Explanation:
The result of the expression 12 ÷ (3 - 1) × 2 is 12.

Following the BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction) order of operations:

Step 1: Perform the subtraction within the parentheses
3 - 1 = 2

So the expression becomes:
= 12 ÷ 2 × 2

Step 2: Perform the division
12 ÷ 2 = 6

So the expression further simplifies to:
= 6 × 2

Step 3: Perform the multiplication
6 × 2 = 12

Therefore, the final result of the expression is indeed 12.
11. What is the value of 15 - 4 × (7 - 3)?
a) 11
b) -1
c) 7
d) 5
Explanation:
The value of the expression 15 - 4 × (7 - 3) is -1.

Following the BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction) order of operations:

Step 1: Perform the subtraction within the parentheses
7 - 3 = 4

So the expression becomes:
= 15 - 4 × 4

Step 2: Perform the multiplication
4 × 4 = 16

So the expression further simplifies to:
= 15 - 16

Step 3: Perform the subtraction
15 - 16 = -1
12. What is the result of (8 + 4) ÷ (2 + 1) × 5?
a) 6.66
b) 20
c) 10
d) 5
Explanation:
The result of the expression (8 + 4) ÷ (2 + 1) × 5 is 20.

Following the BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction) order of operations:

Step 1: Perform the addition within the first set of parentheses
8 + 4 = 12

So the expression becomes:
= 12 ÷ (2 + 1) × 5

Step 2: Perform the addition within the second set of parentheses
2 + 1 = 3

So the expression further simplifies to:
= 12 ÷ 3 × 5

Step 3: Perform the division
12 ÷ 3 = 4

So the expression becomes:
= 4 × 5

Step 4: Perform the multiplication
4 × 5 = 20
13. What is the value of 7 + 2 × 3 ÷ (4 - 1)?
a) 3
b) 6
c) 9
d) 12
Explanation:
The value of the expression 7 + 2 × 3 ÷ (4 - 1) is 9.

Following the BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction) order of operations:

Step 1: Perform the subtraction within the parentheses
4 - 1 = 3

So the expression becomes:
= 7 + 2 × 3 ÷ 3

Step 2: Perform the multiplication
2 × 3 = 6

So the expression further simplifies to:
= 7 + 6 ÷ 3

Step 3: Perform the division
6 ÷ 3 = 2

So the expression becomes:
= 7 + 2

Step 4: Perform the addition
7 + 2 = 9

Therefore, the final value of the expression is indeed 9.
14. What is the result of 8 ÷ 2 + 3 × (6 - 4)?
a) 10
b) 7
c) 8
d) 5
Explanation:
The result of the expression 8 ÷ 2 + 3 × (6 - 4) is 10.

Following the BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction) order of operations:

Step 1: Perform the division
8 ÷ 2 = 4

So the expression becomes:
= 4 + 3 × (6 - 4)

Step 2: Perform the subtraction within the parentheses
6 - 4 = 2

So the expression within the parentheses becomes:
= 3 × 2

Step 3: Perform the multiplication
3 × 2 = 6

Step 4: Perform the addition
4 + 6 = 10

Therefore, the final result of the expression is indeed 10.
15. What is the value of 3 × (10 ÷ 2 + 1)?
a) 18
b) 15
c) 12
d) 9
Explanation:
The value of the expression 3 × (10 ÷ 2 + 1) is 18.

Following the BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction) order of operations:

Step 1: Perform the division within the parentheses
10 ÷ 2 = 5

So the expression within the parentheses becomes:
= 5 + 1

Step 2: Perform the addition
5 + 1 = 6

Step 3: Perform the multiplication
3 × 6 = 18

Therefore, the final value of the expression is indeed 18.
16. What is the result of 9 - 2 × 3 + 5 ÷ (2 - 1)?
a) 4
b) 6
c) 8
d) 10
Explanation:
The result of the expression 9 - 2 × 3 + 5 ÷ (2 - 1) is 8.

Following the BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction) order of operations:

Step 1: Perform the multiplication
2 × 3 = 6

So the expression becomes:
= 9 - 6 + 5 ÷ (2 - 1)

Step 2: Perform the division within the parentheses
2 - 1 = 1

So the expression within the parentheses becomes:
= 5 ÷ 1

Step 3: Perform the division
5 ÷ 1 = 5

So the expression becomes:
= 9 - 6 + 5

Step 4: Perform the subtraction
9 - 6 = 3

Step 5: Perform the addition
3 + 5 = 8

Therefore, the final result of the expression is indeed 8.
17. What is the value of 4 + (8 - 5) × 2 ÷ 2?
a) 6
b) 7
c) 8
d) 13
Explanation:
The value of the expression 4 + (8 - 5) × 2 ÷ 2 is 7.

Following the BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction) order of operations:

Step 1: Perform the subtraction within the parentheses
8 - 5 = 3

So the expression within the parentheses becomes:
= 4 + 3 × 2 ÷ 2

Step 2: Perform the multiplication
3 × 2 = 6

So the expression becomes:
= 4 + 6 ÷ 2

Step 3: Perform the division
6 ÷ 2 = 3

Step 4: Perform the addition
4 + 3 = 7

Therefore, the final value of the expression is indeed 7.
18. What is the result of (5 + 2) × (6 ÷ 3) - 1?
a) 9
b) 13
c) 11
d) 12
Explanation:
The result of the expression (5 + 2) × (6 ÷ 3) - 1 is 13.

Following the BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction) order of operations:

Step 1: Perform the addition within the first set of parentheses
5 + 2 = 7

So the expression becomes:
= 7 × (6 ÷ 3) - 1

Step 2: Perform the division within the second set of parentheses
6 ÷ 3 = 2

So the expression becomes:
= 7 × 2 - 1

Step 3: Perform the multiplication
7 × 2 = 14

Step 4: Perform the subtraction
14 - 1 = 13
19. What is the value of 6 - 3 × (2 + 1) ÷ 2?
a) 1.5
b) 3
c) 4
d) 5
Explanation:
The value of the expression 6 - 3 × (2 + 1) ÷ 2 is 1.5.

Following the BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction) order of operations:

Step 1: Perform the addition within the parentheses
2 + 1 = 3

So the expression becomes:
= 6 - 3 × 3 ÷ 2

Step 2: Perform the multiplication
3 × 3 = 9

So the expression becomes:
= 6 - 9 ÷ 2

Step 3: Perform the division
9 ÷ 2 = 4.5

Step 4: Perform the subtraction
6 - 4.5 = 1.5

Therefore, the final value of the expression is indeed 1.5.
20. What is the result of 10 ÷ 2 + 5 - 3 × (4 ÷ 2)?
a) 2
b) 3
c) 4
d) 5
Explanation:
The result of the expression 10 ÷ 2 + 5 - 3 × (4 ÷ 2) is 4.

Following the BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction) order of operations:

Step 1: Perform the division
10 ÷ 2 = 5

So the expression becomes:
= 5 + 5 - 3 × (4 ÷ 2)

Step 2: Perform the division within the parentheses
4 ÷ 2 = 2

So the expression within the parentheses becomes:
= 3 × 2

Step 3: Perform the multiplication
3 × 2 = 6

So the expression within the parentheses further simplifies to:
= 6

Step 4: Perform the addition
5 + 6 = 11

Step 5: Perform the subtraction
11 - 6 = 5

Therefore, the final result of the expression is indeed 4.